CAT Practice : Averages, Ratios, Mixtures

Averages

Averages

Q.41: A group of people decided to cut 128 trees in a certain number of days. For the first 4 days, they were able to achieve their planned per day target. However, for the remaining days, the group was able to cut 4 more trees daily than planned. In this way, the group had cut 144 trees one day before the planned finish date. What was the number of trees the group was planning to cut per day?
1. 16
2. 32
3. 8
4. 64

Choice A. 16

Detailed Solution

Let the original target be x trees/day and the number of planned days be y.
=) $y = \frac{128}{x}$
Also, as per the question
(y-3-1) * (x+4) + 4x = 144
(y-4) * (x+4) + 4x = 144
xy – 4x + 4y – 16 + 4x = 144
$x * \frac{128}{x} + 4 * \frac{128}{x} = 160$
$\frac{512}{x} = 32$
x = 16

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